As I did last year, I will be doing simulations of each Nationals to predict who the most likely four teams are to make the semi-finals, and also look at other interesting things that may occur. Last year, the simulations did a pretty good job predicting who would advance to the semis including having all four teams predicted correctly several times.
Why do these simulations you ask? The primary reason is that the format for USTA League Nationals is now a flight-less random round-robin where each team plays four other random opponents. This introduces significant variations in schedule strength, the possibility of an undefeated team not making the top-4, and teams vying for the top-4 perhaps not having played head-to-head and unfortunate tie-breakers being used. The simulations aim to educate folks on how it all works and look at what may happen. Also see this write-up for some things to know about Nationals.
Nationals are approaching the fourth weekend of competition, the 55 & Over 7.0 men's event being held in Arizona. Here is what the simulation says is likely to happen.
As a reminder, my simulations are done using my Estimated Dynamic NTRP Ratings and looking at the average rating for the top group of players on each team, the actual schedule each team will play, and then doing a million simulations of the matches with some random variation in each team's expected result.
First, the schedule with 17 teams will always allow for five teams to be undefeated and one sent home (1% chance), but it is possible there could be six undefeated, although very unlikely. Four undefeated would be a nice and tidy result with no drama, but there is just a 13% chance of that so we are more than likely to have some tie-break scenarios with a 41% chance of three undefeated.
That leaves a very good chance, 90%, that there will be a tie for the last spot and it come down to tie-breakers. That tie is likely at a 3-1 record. The most likely size of the tie is five at 32%, but four is nearly as likely at 27%, three and six is still 24%, and a 2-way tie just 1%. The chances of larger ties diminish pretty quickly, but an 11-way tie is theoretically possible, but it appears a multi-way tie is a very high probability and it could be reasonably large.
Should there be a tie on team record, it comes down first to who has the best court record, then head-to-head (if applicable), then to who lost the fewest sets, then who lost the fewest games, and finally percent of games won. There is a 50% chance it comes down to the sets lost tie-breaker, and there is a 40% chance that is between two teams and a healthy 38% chance it is between three teams, If the controversial tie-breakers are going to come into play, this is the likely spot.
The schedule strengths do vary a lot, the team with the easiest schedule having an opponent average of 3.51 while the team with the toughest schedule having an opponent average of 3.68. This leads to an easier road for some teams than others, one of the predicted semi-finalists getting there due to an easier schedule.
So who is most likely to come out in the top-4? SoCal, Northern, and Texas are solid choices, then it is nearly a toss-up for the last spot between Florida, NorCal, PNW, Middle States. and MoValley.
For those interested, I offer a variety of reports to make Nationals more fun and help captains prepare. I have a Simulation Report that has all of the details of the simulation including the average ratings for each team, each team's schedule strength, the most likely record for each team, and the chance of each possible record for each team. I also offer reports to help teams scout opponents in more detail, both a Flight Report with full roster averages, top-8 averages and played by court averages for each team, as well as full Team Reports with detailed ratings for each rostered player and stats who who plays with who and on which court and how they do together. Contact me if interested in any of these reports.
How would your simulations account for players who have returned to form late in the season and whose ratings are just beginning to reflect that?
ReplyDeleteThere is no way to know that players are doing better, or worse, than they did during the year, but these factors tend to average out when looking at full rosters. Also, the rating algorithm does focus on recent results so it does a reasonable job of getting players to the right spot if they had a recent good streak.
DeleteThank you.
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